Black-Hole Spectroscopy: Quasinormal Modes, Ringdown Stability and the Pseudospectrum

Destounis, Kyriakos; Duque, Francisco

doi:10.1007/978-3-031-55098-0_6

Compact Objects in the Universe 2024

DOI: 10.1007/978-3-031-55098-0_6

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Black-Hole Spectroscopy: Quasinormal Modes, Ringdown Stability and the Pseudospectrum

Kyriakos Destounis,

Francisco Duque

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2024

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Cited by 3 publications

References 164 publications

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Spectral instability of black holes: Relating the frequency domain to the time domain

Yang,

Mai,

Yang

et al. 2024

Phys. Rev. D

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Spectral instability of black holes: Relating the frequency domain to the time domain

Yang,

Mai,

Yang

et al. 2024

Phys. Rev. D

View full text Add to dashboard Cite

Black hole spectroscopy with ground-based atom interferometer and space-based laser interferometer gravitational wave detectors

Torres-Orjuela

2024

AVS Quantum Science

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Gravitational wave (GW) detection allows us to test general relativity in entirely new regimes. A prominent role takes the detection of quasi-normal modes (QNMs), which are emitted after the merger of a binary black hole (BBH) when the highly distorted remnant emits GWs to become a regular Kerr black hole (BH). The BH uniqueness theorems of Kerr black hole solutions in general relativity imply that the frequencies and damping times of QNMs are determined solely by the mass and spin of the remnant BH. Therefore, detecting QNMs offers a unique way to probe the nature of the remnant BH and to test general relativity. We study the detection of a merging BBH in the intermediate-mass range, where the inspiral–merger phase is detected by space-based laser interferometer detectors TianQin and LISA, while the ringdown is detected by the ground-based atom interferometer (AI) observatory AION. The analysis of the ringdown is done using the regular broadband mode of AI detectors as well as the resonant mode optimizing it to the frequencies of the QNMs predicted from the inspiral–merger phase. We find that the regular broadband mode allows constraining the parameters of the BBH with relative errors of the order 10−1 and below from the ringdown. Moreover, for a variety of systems considered, the frequencies and the damping times of the QNMs can be determined with relative errors below 0.1 and 0.2, respectively. We further find that using the resonant mode can improve the parameter estimation for the BBH from the ringdown by a factor of up to three. Utilizing the resonant mode significantly limits the detection of the frequency of the QNMs but improves the detection error of the damping times by around two orders of magnitude.

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(In)stability of de Sitter quasinormal mode spectra

Warnick

2024

Front. Appl. Math. Stat.

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We consider how the quasinormal spectrum for the conformal wave operator on the static patch of de Sitter changes in response to the addition of a small potential. Since the quasinormal modes and co-modes are explicitly known, we are able to give explicit formulae for the instantaneous rate of change of each frequency in terms of the perturbing potential. We verify these exact computations numerically using a novel technique extending the spectral hyperboloidal approach of Jaramillo et al. (2021). We propose a definition for a family of pseudospectra that we show capture the instability properties of the quasinormal frequencies.

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Black-Hole Spectroscopy: Quasinormal Modes, Ringdown Stability and the Pseudospectrum

Cited by 3 publications

References 164 publications

Spectral instability of black holes: Relating the frequency domain to the time domain

Spectral instability of black holes: Relating the frequency domain to the time domain

Black hole spectroscopy with ground-based atom interferometer and space-based laser interferometer gravitational wave detectors

(In)stability of de Sitter quasinormal mode spectra

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